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LaTeX lecture notes template

Structured for taking notes during a lecture: course and lecture title, motivation, numbered sections, and bold definitions and results you can find again later. The live preview keeps up as you type math.

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Page 1 of the Lecture Notes template, compiled with pdfTeX
Page 1, compiled with pdfTeX. This is the actual output.

Who it's for

Built for writing fast during class. To hand in graded work, use the homework template. To condense a whole course onto a page, use the reference sheet.

How to customize this template

  1. Set the course and lecture title, such as "Lecture 12: Concentration Inequalities".
  2. Use \section{…} per topic. The outline panel lets you jump between them.
  3. Mark definitions with \textbf{Definition.} so they stand out when you review.
  4. Use the symbol palette and slash commands to enter math quickly without memorizing commands.

When it looks right, press Download PDF. To take the .tex to Overleaf or a local TeX install, choose Export → LaTeX source.

The first lines of the source

\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}

\begin{document}

\begin{center}
{\Large CS 6220: Machine Learning Theory} \\
Lecture 12 --- Concentration Inequalities \\
\today
\end{center}

\section{Motivation}
We often need to bound how far a random variable deviates from its expectation, e.g. to argue that empirical risk converges to true risk as sample size grows.

\section{Basic Inequalities}
\textbf{Definition 1.} A random variable $X$ is \emph{sub-Gaussian} with parameter $\sigma$ if $\mathbb{E}[e^{\lambda(X - \mathbb{E}X)}] \leq e^{\lambda^2 \sigma^2 / 2}$ for all $\lambda \in \mathbb{R}$.

…

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